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Finding the Fourth Proportional to 3,390.56, 5,086.32 and 1,200.08

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Solution

The fourth proportional to 3,390.56, 5,086.32 and 1,200.08 is: 1,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.56 : 5,086.32 = 1,200.08 : x
  2. Step 2: Convert to fraction form
    3,390.56/5,086.32 = 1,200.08/x
  3. Step 3: Cross multiply
    3,390.56x = 5,086.32 × 1,200.08
  4. Step 4: Simplify right side
    3,390.56x = 6,103,990.91
  5. Step 5: Solve for x
    x = 6,103,990.91/3,390.56
  6. Step 6: Final answer
    x = 1,800.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.